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Finding the Fourth Proportional to 383,934.40, 575,167.20 and 206,382.40

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Solution

The fourth proportional to 383,934.40, 575,167.20 and 206,382.40 is: 309,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,934.40 : 575,167.20 = 206,382.40 : x
  2. Step 2: Convert to fraction form
    383,934.40/575,167.20 = 206,382.40/x
  3. Step 3: Cross multiply
    383,934.40x = 575,167.20 × 206,382.40
  4. Step 4: Simplify right side
    383,934.40x = 118,704,387,137.28
  5. Step 5: Solve for x
    x = 118,704,387,137.28/383,934.40
  6. Step 6: Final answer
    x = 309,178.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.